Two positive solutions for one-dimensional $p$-Laplacian with a singular weight
Keywords
p-Laplace equation, singular weight, bifurcation, positive solutions, super-subsolution, mountain pass lemmaAbstract
We investigate a bifurcation problem for one-dimensional $p$-Laplace equation with a singular weight under Dirichlet boundary condition. Using super-subsolution method and mountain pass lemma, we prove the existence of at least two positive solutions, at least one positive solution and no positive solution according to the range of a bifurcation parameter.Downloads
Published
2013-04-22
How to Cite
1.
KAJIKIYA, Ryuji, LEE, Yong-Hoon and SIM, Inbo. Two positive solutions for one-dimensional $p$-Laplacian with a singular weight. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 2, pp. 427 - 448. [Accessed 29 March 2024].
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